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Finding the Fourth Proportional to 425,409.60, 637,960.80 and 214,977.60

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Solution

The fourth proportional to 425,409.60, 637,960.80 and 214,977.60 is: 322,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,409.60 : 637,960.80 = 214,977.60 : x
  2. Step 2: Convert to fraction form
    425,409.60/637,960.80 = 214,977.60/x
  3. Step 3: Cross multiply
    425,409.60x = 637,960.80 × 214,977.60
  4. Step 4: Simplify right side
    425,409.60x = 137,147,281,678.08
  5. Step 5: Solve for x
    x = 137,147,281,678.08/425,409.60
  6. Step 6: Final answer
    x = 322,388.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.